Finding the Fourth Proportional to 9,766.56, 14,644.32 and 3,845.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.56 : 14,644.32 = 3,845.28 : x
2. Step 2: Convert to fraction form
   9,766.56/14,644.32 = 3,845.28/x
3. Step 3: Cross multiply
   9,766.56x = 14,644.32 × 3,845.28
4. Step 4: Simplify right side
   9,766.56x = 56,311,510.81
5. Step 5: Solve for x
   x = 56,311,510.81/9,766.56
6. Step 6: Final answer
   x = 5,765.75